77608571040 has 1536 divisors, whose sum is σ = 370172436480. Its totient is φ = 14664499200.

The previous prime is 77608570999. The next prime is 77608571081. The reversal of 77608571040 is 4017580677.

77608571040 is a `hidden beast` number, since 7 + 76 + 0 + 8 + 571 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (77608570999) and next prime (77608571081).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 566485852 + ... + 566485988.

It is an arithmetic number, because the mean of its divisors is an integer number (240997680).

Almost surely, 2^77608571040 is an apocalyptic number.

77608571040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77608571040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185086218240).

77608571040 is an abundant number, since it is smaller than the sum of its proper divisors (292563865440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77608571040 is a wasteful number, since it uses less digits than its factorization.

77608571040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 77608571040 in words is "seventy-seven billion, six hundred eight million, five hundred seventy-one thousand, forty".